摘要
When conventional integrators like Runge-Kutta-type algorithms are used,numerical errors can make an orbit deviate from a hypersurface determined by many constraints,which leads to unreliable numerical solutions.Scaling correction methods are a powerful tool to avoid this.We focus on their applications,and also develop a family of new velocity multiple scaling correction methods where scale factors only act on the related components of the integrated momenta.They can preserve exactly some first integrals of motion in discrete or continuous dynamical systems,so that rapid growth of roundoff or truncation errors is suppressed significantly.
作者
MEI Li-Jie
WU Xin
LIU Fu-Yao
梅丽杰;伍歆;刘福窑(School of Science,Nanchang University,Nanchang 330031;Department of Applied Mathematics,Shanghai Lixin University of Commerce,Shanghai 201600)
基金
Supported by the National Natural Science Foundation of China under Grant Nos 10873007,11173012,11178002 and 11178014.
